The first non-zero term in the Taylor series expansion of ((... | Engineering Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The first non-zero term in the Taylor series expansion of $(1-x)-e^{-x}$ about $x = 0$ is

A

1

B

-1

C

$\frac{x^2}{2}$

D

$-\frac{x^2}{2}$

Answer

$-\frac{x^2}{2}$

Explanation

Solution

The correct option is (D) : $-\frac{x^2}{2}$